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三等份正方形 VI ( 相似形、商高定理與一元二次方程式綜合證法 )

三等份正方形 VI ( 相似形、商高定理與一元二次方程式綜合證法 ). 新北市林口國中 / 數學輔導團 李政憲 jenshian@yahoo.com.tw. 正方形色紙. 摺出上方中點. 將左下方頂點摺至右邊,並使左方邊長通過上方中點. 將左下方頂點摺至右邊,並使左方邊長通過上方中點. 則圖示 A 點即為所求. x. D. a. G. 設正方形邊長為 1 ,. E. F. 1-a. 1-2a. 連接線段 EF. 在 △ AFG 中. A. 2a. B. 2x. C.

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三等份正方形 VI ( 相似形、商高定理與一元二次方程式綜合證法 )

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  1. 三等份正方形VI(相似形、商高定理與一元二次方程式綜合證法)三等份正方形VI(相似形、商高定理與一元二次方程式綜合證法) 新北市林口國中/數學輔導團 李政憲 jenshian@yahoo.com.tw

  2. 正方形色紙

  3. 摺出上方中點

  4. 將左下方頂點摺至右邊,並使左方邊長通過上方中點將左下方頂點摺至右邊,並使左方邊長通過上方中點

  5. 將左下方頂點摺至右邊,並使左方邊長通過上方中點將左下方頂點摺至右邊,並使左方邊長通過上方中點

  6. 則圖示A點即為所求 x D a G 設正方形邊長為1, E F 1-a 1-2a 連接線段EF 在△AFG中 A 2a B 2x C

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